This student never eats the same kind of food for 2 consecutive weeks. If she eats a Chinese restaurant one week, then she is four times as likely to have Greek as Italian food the next week. If she eats a Greek restaurant one week, then she is equally likely to have Chinese as Italian food the next week. If she eats a Italian restaurant one week, then she is three times as likely to have Chinese as Greek food the next week. Assume that state 1 is Chinese and that state 2 is Greek, and state 3 is Italian. Find the transition matrix for this Markov process.
This student never eats the same kind of food for 2 consecutive weeks. If she eats a Chinese restaurant one week, then she is four times as likely to have Greek as Italian food the next week. If she eats a Greek restaurant one week, then she is equally likely to have Chinese as Italian food the next week. If she eats a Italian restaurant one week, then she is three times as likely to have Chinese as Greek food the next week. Assume that state 1 is Chinese and that state 2 is Greek, and state 3 is Italian. Find the transition matrix for this Markov process.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.5: Markov Chain
Problem 47E: Explain how you can determine the steady state matrix X of an absorbing Markov chain by inspection.
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This student never eats the same kind of food for 2 consecutive weeks. If she eats a Chinese restaurant one week, then she is four times as likely to have Greek as Italian food the next week. If she eats a Greek restaurant one week, then she is equally likely to have Chinese as Italian food the next week. If she eats a Italian restaurant one week, then she is three times as likely to have Chinese as Greek food the next week.
Assume that state 1 is Chinese and that state 2 is Greek, and state 3 is Italian.
Find the transition matrix for this Markov process.
Transcribed Image Text:Find the transition matrix for this Markov process.
P =
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